Big Idea:
The students will be learning through exploration on how to analyze and create circle graphs and Venn diagrams.

For the DO NOW problem, I’m going to have the students make a list of characteristics of previously learned graphs. For example, they can list all the elements in a line graph, bar graph, or line plot. (SMP 6) I will be using this for closure at the end when I have them create their Venn diagram. I’m looking for the following:

Resources

My thoughts for the middle part of the lesson are to have the students answer questions about the graphs and discover the elements on their own. Then they will use this knowledge to create their own circle graph and venn diagram. So for this lesson, I’m going to reference the slide number and the questions I will ask to get the students to critically and mathematically think of the display shown. (SMP 1, 2, 5, 6)

Ask the students what the circle graph is representing (Favorite color)How do you know (title)

How many students were surveyed (100)

What can you tell me about the sections of the graph? (1/2 is green, ¼ purple, ¼ orange) ask for other ways to say this (percentages or decimals) Add this data to the circle graph as they need this label

So, if 100 students were surveyed, how many like green? (50) How many like orange? (25) and How many like purple? (25)

What does the total circle represent? (100% or 1 whole)

Slide 5 – Favorite Pet(More sections and only a few benchmarks. Students will need to reason out the other sections)

What is this circle graph representing? (Favorite Pets) How do you know (title)

How many students were surveyed (100)

What can you tell me about the sections of the graph (1/2 dog, ¼ cat, ¼ bird and snake) Ask for Percentages and decimal equivalents.

If ¼ is a combination of bird and snake, can we tell how much each portion is worth? (estimate or we would need one of the numbers.)

So if bird was 10% of the circle, could you tell me what percentage chose snakes? (15%)

How many people chose dog? (50) How many chose cat (25) How many chose bird? (10) and How many chose snake? (15)

So if 60 people were surveyed, how many slept 8 – 9 hours? (30). How many slept 10 – 11 hours (15) and How many slept 6 – 7 hours?(15)

How can we know for sure our answers are correct? (add the amount and it should equal 60)

Slide 8 Venn Diagram – 4 sided figures

What is the diagram representing (compare/contrast 4 sided figures, 2 sets of parallels and 1 set of parallels

How many 4 sided figures have 2 sets of parallels? (5)

How many 4 sided figures have 1 set of parallels (2)

How many 4 sided figures can have both (1 quadrilateral)

Slide 9 – Factors of 18 and 24

What is the diagram representing (factors of 18 and 24)

How many factors does 18 have? (6) What are they?

How many factors does 24 have? (8)What are they?

How many factors do they have in common?(4)(What are they?

Slide 10 – Favorite team (cubs and sox)

What teams could the people survey choose from (cubs, sox, or both)

Who likes the cubs?

Who likes the sox?

Who can’t decide?

How many people were surveyed.

After the notes, have the students find a partner and work on the around the room or use it with white boards for a more formal assessment. The around the room is in a power point. If using for ATR, then print out a slide per page and hang around the room. If using with white boards, then use as a power point.

Students will be working in pairs to complete 12 problems involving analyzing data in a circle graph and in a Venn Diagram.

Have students number a paper from 1 – 12 (Leaving work space for each problem)

Remind students to stay with their partner

Only one group/problem.

All problems must be discussed and agreed upon before moving to another problem.

Problems are placed around the room for the students to work on. (I like to put the problems on index cards, construction paper or tag board so that I can use them again )

Big Idea:
What do the median, mode, and range tell us about a set of data? Students review median, mode, and range as well as collect and display their own data using line plots, histograms, and stem-and-leaf plots.